Atkin-Lehner |
2+ 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
15950j |
Isogeny class |
Conductor |
15950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
1796608000 = 212 · 53 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 11- -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-472,-3264] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:24:1] [-11:28:1] |
Generators of the group modulo torsion |
j |
93144487437/14372864 |
j-invariant |
L |
4.9441374093829 |
L(r)(E,1)/r! |
Ω |
1.0347958893053 |
Real period |
R |
2.3889432981331 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127600bk1 15950s1 |
Quadratic twists by: -4 5 |